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Finding the Fourth Proportional to 137,859.98, 190,238.01 and 77,429.06

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Solution

The fourth proportional to 137,859.98, 190,238.01 and 77,429.06 is: 106,847.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859.98 : 190,238.01 = 77,429.06 : x
  2. Step 2: Convert to fraction form
    137,859.98/190,238.01 = 77,429.06/x
  3. Step 3: Cross multiply
    137,859.98x = 190,238.01 × 77,429.06
  4. Step 4: Simplify right side
    137,859.98x = 14,729,950,290.57
  5. Step 5: Solve for x
    x = 14,729,950,290.57/137,859.98
  6. Step 6: Final answer
    x = 106,847.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.